Pith Number

pith:OVN4KRAW

pith:2012:OVN4KRAWDNK7QTMIXZB7JYSGOS

not attested not anchored not stored refs pending

Is the Percolation Probability on $\mathbb{Z}^d$ with Long Range Connections Monotone?

A.P.F. Atman, B.N.B. de Lima, M. Schnabel

arxiv:1205.2433 v1 · 2012-05-11 · cond-mat.stat-mech · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVN4KRAWDNK7QTMIXZB7JYSGOS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:55:55.523750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755bc544161b55f84d88be43f4e246748ffbb3fd95fae6c0afe06d31d85e1940

Aliases

arxiv: 1205.2433 · arxiv_version: 1205.2433v1 · doi: 10.48550/arxiv.1205.2433 · pith_short_12: OVN4KRAWDNK7 · pith_short_16: OVN4KRAWDNK7QTMI · pith_short_8: OVN4KRAW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OVN4KRAWDNK7QTMIXZB7JYSGOS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 755bc544161b55f84d88be43f4e246748ffbb3fd95fae6c0afe06d31d85e1940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ae7ef1a4f2763977d7952a8486434c148a14e39e0e747e02d1f6453fc4ee59",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-11T05:58:49Z",
    "title_canon_sha256": "1137d813bfa7016f9fc52c4978e041df093d4b860fcff71c3eb65432f0a0975b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2433",
    "kind": "arxiv",
    "version": 1
  }
}